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Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor

Published 18 Apr 2019 in math.DG | (1904.08694v1)

Abstract: For Riemannian manifolds with a smooth measure $(M, g, e{-f}dv_{g})$, we prove a generalized Myers compactness theorem when Bakry--Emery Ricci tensor is bounded from below and $f$ is bounded.

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